Fast implicit simulation of oscillatory flow in human abdominal bifurcation using a schur complement preconditioner

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5704 LNCS, Issue , 2009, Pages 747-759

  Burckhardt, K ^a   Szczerba, D ^a,b   Brown, J ^a   Muralidhar, K ^c   Szekely G ^a  

^a ETH ZURICH   (Switzerland)

^b FOUNDATION FOR RESEARCH ON INFORMATION TECHNOLOGIES IN SOCIETY IT IS   (Switzerland)

^c INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Aortic aneurysm; Flow simulation; Indefinite matrix; Parallel Krylov solver; Streamline diffusion FEM

Indexed keywords

AORTIC ANEURYSM; BIOMEDICAL PROBLEMS; FINITE-ELEMENT DISCRETIZATION; FLOW CONDITION; INDEFINITE MATRIX; LARGE SYSTEM; MEMORY REQUIREMENTS; OSCILLATORY FLOWS; PARALLEL KRYLOV SOLVER; PARALLEL SOLVER; PRECONDITIONERS; REFERENCE SOLUTION; SCHUR COMPLEMENT; STOPPING CRITERIA; STREAMLINE DIFFUSION; STREAMLINE DIFFUSION FEM;

ARTIFICIAL INTELLIGENCE; BIFURCATION (MATHEMATICS); BIOINFORMATICS; BLOOD VESSELS; COMPUTATIONAL FLUID DYNAMICS; DIFFUSION; FINITE ELEMENT METHOD; NAVIER STOKES EQUATIONS;

FLOW SIMULATION;

EID: 70350662865     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-03869-3_70     Document Type: Conference Paper

References (22)

1. Balay, S., Buschelman, K., Gropp, W.D., Kaushik, D., Knepley, M.G., Curfman McInnes, L., Smith, B.F., Zhang, H.: PETSc Web page (2001), http://www.mcs.anl.gov/petsc
2. Demmel, J.W., Heath, M.T., van der Vorst, H.A.: Parallel numerical linear algebra. Acta Numer. 2, 111-197 (1993)
3. Dongarra, J.J., Duff, I.S., Sorensen, D.C., van der Vorst, H.A.: Numerical Linear Algebra for High-Performance Computers. SIAM Press, Philadelphia (1998)
4. Elman, H.C.: Preconditioning strategies for models of incompressible flow. Journal of Scientific Computing 25, 347-366 (2005)
5. Ferziger, J.H., Tseng, Y.H.: A coordinate system independent streamwise upwind method for fluid flow computation. International Journal for Numerical Methods in Fluids 45, 1235-1247 (2004)
6. Guermond, J.L., Minev, P., Shen, J.: An overview of projection methods for incompressible flows. Computer Methods in Applied Mechanics and Engineering 195, 6011-6045 (2006)
7. Elman, H., Howle, V., Shadid, J., Shuttleworth, R., Tuminaro, R.: Block preconditioners based on approximate commutators. SIAM J. Sci. Comput 27(5), 1651-1668 (2006)
8. Elman, H., Howle, V., Shadid, J., Shuttleworth, R., Tuminaro, R.: A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible navier-stokes equations. Journal of Computational Physics 227(1), 1790-1808 (2008)
9. Hendrickson, B., Leland, R.: The chaco user's guide: Version 2.0. Technical Report SAND 94-2692, Sandia (1994)
10. Kay, D., Loghin, D., Wathen, A.: A preconditioner for the steady-state navier-stokes equations. SIAM J. Sci. Comput. 24(1), 237-256 (2002)
11. May, D.A., Moresi, L.: Preconditioned iterative methods for stokes flow problems arising in computational geodynamics. Physics of Earth and Planetary Interiors 171, 33-47 (2008)
12. McGregor, R.H.P., Szczerba, D., Székely, G.: A multiphysics simulation of a healthy and a diseased abdominal aorta. In: Ayache, N.,Ourselin, S., Maeder, A. (eds.) MICCAI 2007, Part II. LNCS, vol. 4792, pp. 227-234. Springer, Heidelberg (2007)
13. Murphy, M.F., Golub, G.H., Wathen, A.J.: A note on preconditioning for indefinite linear systems. SIAM J. Sci. Comput 21(6), 1969-1972 (2000)
14. Patankar, S.V.: Numerical Heat Transfer and Fluid Flow. McGraw-Hill, New York (1980)
15. Patankar, S.V., Spalding, D.B.: A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. Int. J. Heat Mass Transfer 15, 1787-1806 (1972)
16. Saad, Y.: A flexible inner-outer preconditioned gmres. SIAM J. Sci. Comput 14(2), 461-469 (1993)
17. Schenk, O., Gärtner, K.: Solving unsymmetric sparse systems of linear equations with pardiso. Journal of Future Generation Computer Systems 20(3), 475-487 (2002)
18. Szczerba, D., McGregor, R., Muralidhar, K., Székely, G.: Mechanism and localization of wall failure during abdominal aortic aneurysm formation. Biomedical Simulation 5104, 119-126 (2008)
19. Uzawa,H.: Iterative methods for concave programming. In: Arrow, K.J., Hurwicz, L., Uzawa, H. (eds.) Studies in Linear and Nonlinear Programming, pp. 154-165 (1958)
20. Van Emden, H., Meier Yang, U.: Boomeramg: A parallel algebraic multigrid solver and preconditioner. Applied Numerical Mathematics 41, 155-177 (2002)
21. Wesley, P., Arbenz, P.: Introduction to Parallel Computing. Oxford University Press, Oxford (2004)
22. Zienkiewicz, O.C., Taylor, R.L.: The Finite Element Method, 5th edn. Butterworth-Heinemann, Butterworth (2000)